We investigate the use of numerical quadrature in the p-version of the finite element method. We describe a set of minimal conditions that the quadrature rules should satisfy, for various types of elements. Under sufficient assumptions of smoothness, we establish optimality of the asymptotic rate of convergence. Some computational results are presented, which illustrate under what conditions overintegration may be useful.
机构:
Department of Computational Mathematics and Cybernetics, Moscow State University, MoscowDepartment of Computational Mathematics and Cybernetics, Moscow State University, Moscow
Zolotareva N.D.
Nikolaev E.S.
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Department of Computational Mathematics and Cybernetics, Moscow State University, MoscowDepartment of Computational Mathematics and Cybernetics, Moscow State University, Moscow